the lengths of the side of a triangle (in centimetres) are 3 consecutive integers. the length of the shortest side is 25% of its perimeter. the area of the triangle (in square centimetres) is?
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1
Answer: answer will be 5
Step-by-step explanation:Using sine law,
n−1
sinα
=
n+1
sin2α
⇒2cosα=
(n−1)
n+1
⇒cosα=
2(n−1)
n+1
∴
2n(n+1)
n
2
+(n+1)
2
−(n−1)
2
=
2(n−1)
(n+1)
(using cosine law)
⇒
2n+(n+1)
n
2
+4n
=
2(n−1)
(n+1)
⇒
2(n+1)
n+4
=
2(n−1)
n+1
⇒(n+1)
2
=(n+4)(n−1)
∴n=5
Answered by
0
Step-by-step explanation:
Give a brief account of the sight, the sounds and the activities of all children at the
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